A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight-Reference-Cited by-同舟云学术

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A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight

Published:2023 Issue: Volume: Page:111-118
ISSN:0271-4132
Container-title:Recent Trends in Formal and Analytic Solutions of Diff. Equations
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Author:

Chen Yang,Filipuk Galina,Rebocho Maria

Abstract

In this paper we study one modification of the Jacobi weight. We show that the coefficients in the three term recurrence relation for polynomials orthogonal with respect to this weight satisfy a complicated system of nonlinear difference equations.

Publisher

American Mathematical Society

Reference19 articles.

1. Painlevé V and time-dependent Jacobi polynomials;Basor, Estelle;J. Phys. A,2010

2. Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line;Branquinho, A.;Appl. Math. Comput.,2013

3. Singular linear statistics of the Laguerre unitary ensemble and Painlevé III. Double scaling analysis;Chen, Min;J. Math. Phys.,2015

4. Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials;Chen, Yang;J. Approx. Theory,2010

5. Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics;Chen, Yang;Jaen J. Approx.,2019

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Differential and difference equations for recurrence coefficients of orthogonal polynomials with a singularly perturbed Laguerre-type weight;Proceedings of the American Mathematical Society;2023-03-14

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